6012100516506 has 512 divisors, whose sum is σ = 15660739584000. Its totient is φ = 1500281782272.

The previous prime is 6012100516501. The next prime is 6012100516519. The reversal of 6012100516506 is 6056150012106.

It is a super-2 number, since 2×6012100516506² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6012100516501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7431520630 + ... + 7431521438.

It is an arithmetic number, because the mean of its divisors is an integer number (30587382000).

Almost surely, 2^{6012100516506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012100516506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7830369792000).

6012100516506 is an abundant number, since it is smaller than the sum of its proper divisors (9648639067494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6012100516506 is a wasteful number, since it uses less digits than its factorization.

6012100516506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 6012100516506 in words is "six trillion, twelve billion, one hundred million, five hundred sixteen thousand, five hundred six".